Symmetries of general relativistic Liouville's equation for de Sitter's spacetime.

Details Symmetries of general relativistic Liouville's equation for de Sitter's spacetime. Symmetries of general relativistic Liouville's equation for de Sitter's spacetime.

Jan 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996a%26a...305..379d&link_type=abstract

Astronomy and Astrophysics, v.305, p.379

Astronomy and Astrophysics

Astrophysics

3

Cosmology: Theory, Methods: Analytical, Relativity

Scientific paper

A systematic study of the symmetries of general relativistic Liouville's equation in an arbitrary spacetime is presented. The method is applied to the case of de Sitter's spacetime. The symmetry group of the latter turns out to be SO(4,1)*SO(4,1). The geometrical (Killing vector constant of motion) and non-geometrical constants of motion are obtained. Finally, a method to introduce the distribution function which inherit some or all of the symmetries of spacetimes is given.

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